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    Coursera
    1. Probability Theory, Statistics and Exploratory Data Analysis
    2. Week 3
    3. Joint distribution skill test
    PreviousNext
      • Completed
        Video: LectureIntroduction to the 3rd week
        . Duration: 5 minutes5 min
      • Completed
        Video: LectureLinear transformations of random variables
        . Duration: 8 minutes8 min
      • Completed
        Quiz: PMF of linear transformations
        1 question
      • Completed
        Video: LectureLinearity of expected value
        . Duration: 6 minutes6 min
      • Completed
        Video: LectureSymmetric distributions and their expected values
        . Duration: 6 minutes6 min
      • Completed
        Video: LectureFunctions of random variables
        . Duration: 5 minutes5 min
      • Completed
        Video: LectureProperties of variance
        . Duration: 6 minutes6 min
      • Completed
        Video: LectureSum of random variables. Expected value and variance
        . Duration: 8 minutes8 min
      • Completed
        Quiz: Expectation properties
        2 questions
      • Completed
        Video: LectureJoint probability distribution
        . Duration: 12 minutes12 min
      • Completed
        Video: LectureMarginal distribution
        . Duration: 8 minutes8 min
      • Completed
        Quiz: Joint distribution skill test
        3 questions
      • Completed
        Video: LectureIndependent random variables
        . Duration: 7 minutes7 min
      • Completed
        Video: LectureAnother example of non-independent random variables
        . Duration: 8 minutes8 min
      • Completed
        Quiz: Joint PMF
        2 questions
      • Completed
        Video: LectureExpected value of product of independent random variables
        . Duration: 8 minutes8 min
      • Completed
        Video: LectureVariance of sum of random variables. Covariance
        . Duration: 11 minutes11 min
      • Completed
        Quiz: Variance of Binomial random variable
        1 question
      • Completed
        Video: LectureProperties of covariance
        . Duration: 10 minutes10 min
      • Completed
        Quiz: Covariance for a dice roll
        1 question
      • Completed
        Video: LectureCorrelation of two random variables
        . Duration: 7 minutes7 min
      • Completed
        Quiz: Correlation quiz
        1 question
      • Completed
        Video: LectureSystems of random variables. Highlights
        . Duration: 3 minutes3 min
    QuizQuiz • 15 min15 minutes

    Joint distribution skill test

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    Due DateJun 8, 2:59 AM EDTJune 8, 2:59 AM EDT
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    Joint distribution skill test
    Graded Quiz • 15 min

    Due Jun 8, 2:59 AM EDT

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    Joint distribution skill test

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    1.
    Question 1

    Consider 2 random variables X and Y with joint distribution given by the table:

    Y = 0Y = 1Y = 2
    X = 01/41/61/12
    X = 11/161/85/16

    Find P({X=1}∩{Y>0})P(\{X=1\} \cap \{Y>0\})P({X=1}∩{Y>0}). Enter the irreducible fraction below (e.g., 13/28):

    1 / 1 point
    7/16
    Check
    Correct
    2.
    Question 2

    Consider 2 random variables X and Y with joint distribution given by the table:

    Y = 0Y = 1Y = 2
    X = 01/41/61/12
    X = 11/161/85/16

    Find P({Y=2} ∣{X=1})P(\{Y=2\} \,| \{X=1\})P({Y=2}∣{X=1}). Enter the irreducible fraction below (e.g., 13/28):

    1 / 1 point
    5/8
    Check
    Correct
    3.
    Question 3

    Consider 2 random variables X and Y with joint distribution given by the table:

    Y = 0Y = 1Y = 2
    X = 01/41/61/12
    X = 11/161/85/16

    What is the marginal PMF of Y?

    1 / 1 point
    Check
    Correct